What is the solution of 4 plus square root of 5 x plus 66 end root is equal to x plus 10 ?

Subtract 4 from both sides to get √(5x + 66) = x + 6, so x must be at least −6. Squaring both sides gives 5x + 66 = (x + 6)², which simplifies to (x + 10)(x − 3) = 0. The candidates are −10 and 3, but −10 is below −6 and does not satisfy the original equation; checking 3 gives 4 + √81 = 13 = 3 + 10. Therefore, the solution is x = 3, choice B.

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